Atkin-Lehner |
2- 3+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
23664h |
Isogeny class |
Conductor |
23664 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-756327186432 = -1 · 216 · 34 · 173 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 2 -1 -4 3 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56352,5167872] |
[a1,a2,a3,a4,a6] |
Generators |
[138:18:1] |
Generators of the group modulo torsion |
j |
-4831694578428193/184650192 |
j-invariant |
L |
4.6699865899033 |
L(r)(E,1)/r! |
Ω |
0.84232424551426 |
Real period |
R |
1.3860418404115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2958b1 94656bo1 70992be1 |
Quadratic twists by: -4 8 -3 |